Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 471
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this article, we consider some classes of forced Korteweg-de Vries equations of fractional order in complex domain. The existence and uniqueness of holomorphic solution are established. We illustrate our theoretical result by examples.
Classification :
34A12
Keywords: Fractional calculus, fractional differential equation, holomorphic solution, unit disk, Riemann-Liouville operators, nonlinear, Korteweg-de Vries equation (KdV), Tsunami, forced (KdV).
Keywords: Fractional calculus, fractional differential equation, holomorphic solution, unit disk, Riemann-Liouville operators, nonlinear, Korteweg-de Vries equation (KdV), Tsunami, forced (KdV).
@article{KJM_2011_35_3_a10,
author = {Rabha W. Ibrahim},
title = {Holomorphic solution for classes of forced {Korteweg-de} {Vries} equations of fractional order},
journal = {Kragujevac Journal of Mathematics},
pages = {471 },
publisher = {mathdoc},
volume = {35},
number = {3},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a10/}
}
TY - JOUR AU - Rabha W. Ibrahim TI - Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order JO - Kragujevac Journal of Mathematics PY - 2011 SP - 471 VL - 35 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a10/ LA - en ID - KJM_2011_35_3_a10 ER -
Rabha W. Ibrahim. Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 471 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a10/